What is the Greatest Common Factor of 34745 and 34765?

Greatest common factor (GCF) of 34745 and 34765 is 5.

GCF(34745,34765) = 5

We will now calculate the prime factors of 34745 and 34765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34745 and 34765.

How to find the GCF of 34745 and 34765?

We will first find the prime factorization of 34745 and 34765. After we will calculate the factors of 34745 and 34765 and find the biggest common factor number .

Step-1: Prime Factorization of 34745

Prime factors of 34745 are 5, 6949. Prime factorization of 34745 in exponential form is:

34745 = 5¹ × 6949¹

Step-2: Prime Factorization of 34765

Prime factors of 34765 are 5, 17, 409. Prime factorization of 34765 in exponential form is:

34765 = 5¹ × 17¹ × 409¹

Step-3: Factors of 34745

List of positive integer factors of 34745 that divides 34745 without a remainder.

1, 5, 6949

Step-4: Factors of 34765

List of positive integer factors of 34765 that divides 34745 without a remainder.

1, 5, 17, 85, 409, 2045, 6953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34745 and 34765. The biggest common factor number is the GCF number.
So the greatest common factor 34745 and 34765 is 5.

Also check out the Least Common Multiple of 34745 and 34765